Select the word from the list that best fits the definition a string of islands formed by the volcanoes along a deep-ocean trench.

The answer is island arc.

Step-by-step explanation:

A string of islands formed by the volcanoes along a deep-ocean trench is called an island arc.

Island arcs are a curved chain of volcanic islands located at a tectonic plate margin. Sometimes, volcanoes form in the middle of these tectonic plates and its magma rises upward until it erupts on the seafloor, gradually forming islands. Few examples of island arcs are the Japanese islands and the Kuril Islands. This curve shape can be seen from above.

y = 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (- 3, 1) and (x₂, y₂ ) = (- 2, 3)

m = = = 2 , then

y = 2x + c ← is the partial equation

To find c substitute (- 3, 1 ) into the partial equation

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = 2x + 7 ← equation of line